Drag each of the equations given above into the appropriate area below. (a) The graph of the equation has \( y \)-intercept \( (0,-8) \). (b) The graph of the equation has \( (0,0) \) as \( x \)-intercept and \( y \)-intercept. (c) The graph of the equation does not have an \( x \)-intercept. (d) The graph of the equation has \( x \)-intercept \( (8,0) \).

Sure! Let's add some fun insight to this. Imagine you're drawing a timeline of famous equations! For part (a), the equation with the \( y \)-intercept at \( (0, -8) \) could be something like \( y = mx - 8 \), where \( m \) dictates the slope. This means the line crosses the \( y \)-axis below the origin, putting a unique twist on typical linear representations! Now, for part (b), if an equation has both the \( x \)-intercept and \( y \)-intercept at \( (0, 0) \), it's likely to be the origin itself! Think of equations like \( y = 0 \) or \( x = 0 \). They're that special kind of equation which, like a superhero duo, saves the day by intersecting at the most important point on the grid!